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enyata [817]
3 years ago
11

If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle ( sometimes, alwa

ys, or never) isosceles
Mathematics
1 answer:
avanturin [10]3 years ago
7 0
It is always isosceles because it can be proved as follows:

The perpendicular bisector dissects the triangle into two, and it is the common side.  Then each side of the bisector is 90 degrees, and the bisected to two equal sides, so the two dissected triangles are congruent, hence the original triangle is isosceles.
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What is the rise over run for the slope -11/9
Igoryamba

Answer:  11 down and 9 right

<u>Step-by-step explanation:</u>

Slope IS rise over run where the top number of the fraction (numerator) determines the vertical distance --> positive is up, negative is down

and the bottom number of the fraction (denominator) determines the horizontal distance --> positive is right, negative is left.

Given slope = -11/9

the numerator is -11 so the "rise" is  DOWN 11 units

the denominator is 9 so the "run" is RIGHT 9 units

7 0
3 years ago
The first performance of the school play sold out for all 2000 tickets. The tickets sales receipts totaled$8500. If adults paid
azamat
A+s=2000
5a+3s=8500
a=-s+2000
-5s+10000+3s=8500
-2s=-1500
s=750
a=1250
They sold 750 student tickets and 1,250 adult tickets
8 0
3 years ago
What is the equation of the line that passes through the point (6,1) and is parallel to the line x+3y=15
mrs_skeptik [129]

Answer:

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6 0
3 years ago
Natalia sawed five boards of equal links to make a school each was 9/10 of a meter long what is the total length of the board sh
Alexxandr [17]
5×9/10=4.5
        9/10          1 8/10         2 7/10        3 6/10             4 5/10
---------------l--------------l---------------l----------------l----------------
5 5/10=4 1/2=4.5
6 0
3 years ago
(-3/2)x - 9 = - 27 solve for x
aleksklad [387]

Answer:

x = 12

Step-by-step explanation:

Solve for x:

(-3 x)/2 - 9 = -27

Put each term in (-3 x)/2 - 9 over the common denominator 2: (-3 x)/2 - 9 = (-18)/2 - (3 x)/2:

(-18)/2 - (3 x)/2 = -27

(-18)/2 - (3 x)/2 = (-3 x - 18)/2:

(-3 x - 18)/2 = -27

Multiply both sides of (-3 x - 18)/2 = -27 by 2:

(2 (-3 x - 18))/2 = -27×2

(2 (-3 x - 18))/2 = 2/2×(-3 x - 18) = -3 x - 18:

-3 x - 18 = -27×2

2 (-27) = -54:

-3 x - 18 = -54

Add 18 to both sides:

(18 - 18) - 3 x = 18 - 54

18 - 18 = 0:

-3 x = 18 - 54

18 - 54 = -36:

-3 x = -36

Divide both sides of -3 x = -36 by -3:

(-3 x)/(-3) = (-36)/(-3)

(-3)/(-3) = 1:

x = (-36)/(-3)

The gcd of -36 and -3 is -3, so (-36)/(-3) = (-3×12)/(-3×1) = (-3)/(-3)×12 = 12:

Answer:  x = 12

3 0
3 years ago
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